Answer:

Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

Answer:
374/105.
Step-by-step explanation:
1/3 of 8 * 2/7
= 1/3 * 8 * 2/7
= 8/3 * 2/7
= 16/21.
2/5 of 7
= 2/5 * 7
= 14/5.
Adding 16/21 + 14/5
= 80 / 105 + (14*21) / 105
= 80/105 + 294/105
= 374/105.
<u><em>To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?</em></u>
<u><em></em></u>
<u><em>L=length=15.5 ft; W=width; A=area=>170.5 sq ft</em></u>
<u><em></em></u>
<u><em>L*W=>170.5 sq ft Divide each side by L</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/L</em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/15.5 ft=>11 feet</em></u>
<u><em></em></u>
ANSWER: To cover at least 170.5 sq ft. the width must be at least 11 feet.
<h2><em><u>
Brainly pls</u></em></h2>
Answer:
25.12
Step-by-step explanation:
The formula of the circumference of a circle is: C = 2(pi)(r)
Plug in 3.14 for pi and 4 for the radius.
C = 2(3.14)(4)
Multiply.
C = 25.12
Hey there!☺



To solve, we will need to evaluate:

We're not done yet because we need to simplify 13673/20:

Hope this helps!☺